Properties

Label 64974c
Number of curves $1$
Conductor $64974$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 64974c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
64974.c1 64974c1 \([1, 1, 0, -2897199, -4147893819]\) \(-466524661159336633/1018572198505056\) \(-5871866028514145333856\) \([]\) \(5806080\) \(2.8658\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 64974c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 64974c do not have complex multiplication.

Modular form 64974.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - 3 q^{5} + q^{6} - q^{8} + q^{9} + 3 q^{10} + q^{11} - q^{12} + q^{13} + 3 q^{15} + q^{16} + q^{17} - q^{18} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display